Maharashtra State BoardHSC Commerce 12th Board Exam
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Complete the Following Life Table : X Lx Dx Qx Px Lx 4 9100 60 ? ? ? 5 ? 45 ? ? - Mathematics and Statistics

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Sum

Complete the following life table : 

x lx dx qx px

Lx

4 9100 60 ? ? ?
5 ? 45 ? ?  
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Solution

∵ d4 = l4 - l5

∴ 60 = 9100 - l5

∴ l= 9040

`q_4 = d_4/l_4`

= `60/9100 = 0.0066`

`q_5 = d_5/l_5`

= `45/9040 = 0.0050`

`p_4 = 1 - q_4`

 = `1 - 0.0066 = 0.9934`

`p_5 = 1 - q_5`

= `1 - 0.0050 = 0.9950`

`L_4 = (l_4 + l_5)/2`

= `(9100 + 9040)/2`

= 9070

Hence required table is 

x lx dx qx px

Lx

4 9100 60 0.0066  0.9934  9070 
5 9070  45 0.0050  0.9950   
Concept: Life Tables
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